We appreciate your visit to At a certain high school seniors have the option of taking AP Physics or AP Chemistry in their final year of science 5 of seniors. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve this problem, we need to find the probability that a senior takes AP Chemistry given that they are already taking AP Physics.
Here's how to approach it:
1. Identify the given probabilities:
- Probability of a senior taking AP Physics ([tex]\( P(\text{Physics}) \)[/tex]) is 35%, or 0.35.
- Probability of a senior taking AP Chemistry ([tex]\( P(\text{Chemistry}) \)[/tex]) is 15%, or 0.15.
- Probability of a senior taking both AP Physics and AP Chemistry ([tex]\( P(\text{Both}) \)[/tex]) is 5%, or 0.05.
2. Use the concept of conditional probability:
- The conditional probability formula is [tex]\( P(\text{Chemistry} \mid \text{Physics}) = \frac{P(\text{Both})}{P(\text{Physics})} \)[/tex].
3. Substitute the known values into the formula:
- [tex]\( P(\text{Chemistry} \mid \text{Physics}) = \frac{0.05}{0.35} \)[/tex].
4. Calculate the result:
- When you divide 0.05 by 0.35, you get approximately 0.14285714285714288.
Therefore, the probability that a randomly selected senior, who is taking AP Physics, is also taking AP Chemistry is approximately 0.143, or 14.3%.
Here's how to approach it:
1. Identify the given probabilities:
- Probability of a senior taking AP Physics ([tex]\( P(\text{Physics}) \)[/tex]) is 35%, or 0.35.
- Probability of a senior taking AP Chemistry ([tex]\( P(\text{Chemistry}) \)[/tex]) is 15%, or 0.15.
- Probability of a senior taking both AP Physics and AP Chemistry ([tex]\( P(\text{Both}) \)[/tex]) is 5%, or 0.05.
2. Use the concept of conditional probability:
- The conditional probability formula is [tex]\( P(\text{Chemistry} \mid \text{Physics}) = \frac{P(\text{Both})}{P(\text{Physics})} \)[/tex].
3. Substitute the known values into the formula:
- [tex]\( P(\text{Chemistry} \mid \text{Physics}) = \frac{0.05}{0.35} \)[/tex].
4. Calculate the result:
- When you divide 0.05 by 0.35, you get approximately 0.14285714285714288.
Therefore, the probability that a randomly selected senior, who is taking AP Physics, is also taking AP Chemistry is approximately 0.143, or 14.3%.
Thanks for taking the time to read At a certain high school seniors have the option of taking AP Physics or AP Chemistry in their final year of science 5 of seniors. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
